Abstract
We characterize the linear preservers of minus partial order on matrix algebras. The developed approach allows us to classify linear transformations that live fixed several matrix relations arising as extremal cases in some classical matrix inequalities, including rank-additivity relation and related properties. Applications to the determinant preservers are considered.
| Original language | English |
|---|---|
| Pages (from-to) | 75-87 |
| Number of pages | 13 |
| Journal | Linear Algebra and Its Applications |
| Volume | 331 |
| Issue number | 1-3 |
| DOIs | |
| State | Published - 1 Jul 2001 |
| Externally published | Yes |
Bibliographical note
Funding Information:This work is partially supported by RFBR Grants NN. 00-15-96128 and 99-01-00382. E-mail address: [email protected] (A. Guterman).
Funding
This work is partially supported by RFBR Grants NN. 00-15-96128 and 99-01-00382. E-mail address: [email protected] (A. Guterman).
| Funders | Funder number |
|---|---|
| Russian Foundation for Basic Research |
Keywords
- Linear preservers
- Minus-order
- Rank additivity